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3 years ago

What is the measure of angle x? Show or explain how you know.

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:

65 degrees

Step-by-step explanation:

y is a right angle and a is 30 degrees. this means that the supplementary engle of x is 45 plus 70 which is 115. 180-115 = 65 degrees.

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What is 11/12 – 3/8 A) 2 B) 1/2 C) 13/24 D) 21/32

Pepsi [2]

Hey! Answer to this would be 13/24.

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3 years ago

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

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2 years ago

N.) Evaluate the expression (xy)? + 8, when x = 2 and y = 4.

kodGreya [7K]

Answer:

Step-by-step explanation:

x=2. y=4

following bodmas

2*4=8

8+8=16

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3 years ago

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The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance betw

Romashka-Z-Leto [24]

Diameter of the basketball rim = 18 inches

Circumference of the standard basketball = 30 inches

Area of circle = π r²

Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²

Circumference of a circle = 2 π r

30 = 2 * 3.14 * r

r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches

Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²

254.34 - 71.75 = 182.59 in²

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3 years ago

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Find the surface area of the right rectangular prism shown below. units? 2.5 10 4

Mrrafil [7]

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